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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1969 Volume 5, Issue 2, Pages 195–204 (Mi mzm6824)

This article is cited in 2 papers

The $p$-variation of functions

B. I. Golubov

Moscow Institute of Physics and Technology

Abstract: A formula is derived for the $p$-variation of functions of the class $V_q$ ($1\leqslant q<p<\infty$) and it is proved that this formula ceases to hold when $1<q=p<\infty$, in contrast to the case $q=ð=1$.

UDC: 517.5

Received: 20.03.1968


 English version:
Mathematical Notes, 1969, 5:2, 119–124

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